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Finding the Fourth Proportional to 83.44, 125.06 and 54.46

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Solution

The fourth proportional to 83.44, 125.06 and 54.46 is: 81.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.44 : 125.06 = 54.46 : x
  2. Step 2: Convert to fraction form
    83.44/125.06 = 54.46/x
  3. Step 3: Cross multiply
    83.44x = 125.06 × 54.46
  4. Step 4: Simplify right side
    83.44x = 6,810.77
  5. Step 5: Solve for x
    x = 6,810.77/83.44
  6. Step 6: Final answer
    x = 81.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.